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12132100123121 = 111812160864091
BaseRepresentation
bin1011000010001011100110…
…0001001010100111110001
31120221211001220202122202002
42300202321201022213301
53042233020112414441
641445224310103345
72361341515355546
oct260427141124761
946854056678662
1012132100123121
113958216266580
12143b34794ab55
136a008a6c6304
142dd2a7d66bcd
151608b5322b9b
hexb08b984a9f1

12132100123121 has 8 divisors (see below), whose sum is σ = 13235748902688. Its totient is φ = 11028573108000.

The previous prime is 12132100123109. The next prime is 12132100123163.

12132100123121 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12132100123121 - 222 = 12132095928817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12132100123093 and 12132100123102.

It is not an unprimeable number, because it can be changed into a prime (12132100123321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30232715 + ... + 30631376.

It is an arithmetic number, because the mean of its divisors is an integer number (1654468612836).

Almost surely, 212132100123121 is an apocalyptic number.

12132100123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12132100123121 is a deficient number, since it is larger than the sum of its proper divisors (1103648779567).

12132100123121 is a wasteful number, since it uses less digits than its factorization.

12132100123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60882223.

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 12132100 and 123121, that added together give a palindrome (12255221).

The spelling of 12132100123121 in words is "twelve trillion, one hundred thirty-two billion, one hundred million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 11 18121 199331 60864091 669505001 1102918193011 12132100123121